Dynamics for a viscoelastic beam equation with past history and nonlocal boundary dissipation

Linfang Liu, Vando Narciso, Zhijian Yang

This article aims to study the long-time dynamics of the linear viscoelastic plate equation $u_{tt}+{\Delta }^{2}u-{\int }_{\tau }^{t}g(t-s){\Delta }^{2}u(s)ds=0$ subject to nonlinear and nonloca…